杨晓明等：基于M-K理论的6016铝合金成形极限曲线预测 ·491· 参考文献 finite element simulation in sheet metal forming.J Mater Process Technol..2009,209(11):5097 [1]Ding X Q,He GQ,Chen C S,et al.Advance in studies of 6000 Swift H W.Plastic instability under plane stress.J Mech Phys Sol- aluminum alloy for automobile.J Mater Sci Eng,2005,23 (2): 302 is,1952,1(1):1 (丁向群，何国求，陈成澍，等.6000系汽车车用铝合金的研 [8]Hill R.On discontinuous plastic states with special reference to lo- calized necking in thin sheets.Mech Phys Solids,1952,1(1):19 究应用进展.材料科学与工程学报，2005,23(2)：302) Yang X Y,Lang L H,Liu K N,et al.Prediction of forming limit ] Marciniak Z,Kuczynski K.Limit strains in the processes of diagram of AA7075-0 aluminum alloy sheet based on modified stretch-forming sheet metal.Int J Mech Sci,1967,9(9):609 [10]Park J J,Kim Y H.Fundamental studies on the incremental M-K model.J Beijing Unir Aeron Astron,2015,41 (4):675 sheet metal forming technique.I Mater Process Technol,2003, (杨希英，郎利辉，刘康宁，等.基于修正MK模型的铝合金 140(13):447 板材成形极限图预测.北京航空航天大学学报，2015,41 [11]Jain M,Allin J,Lloyd D J.Fracture limit prediction using duc- (4):675) tile fracture criteria for forming of an automotive aluminum sheet. 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Nonferrous Met,2008,18(6)980 Mater Process Technol,2008,208(13):29 (马高山，万敏，吴向东.基于M-K模型的铝锂合金热态下 [15]Mohamed M S,Foster A D,Lin J G,et al.Investigation of de- 成形极限预测.中国有色金属学报，2008,18(6)：980) formation and failure features in hot stamping of AA6082:experi- 6]da Rocha A B,Santos A D.Teixeira P,et al.Analysis of plastic mentation and modelling.Int J Mach Tools Manuf,2012,53 flow localization under strain paths changes and its coupling with (1):27杨晓明等: 基于 M--K 理论的 6016 铝合金成形极限曲线预测 参 考 文 献 ［1］ Ding X Q，He G Q，Chen C S，et al． Advance in studies of 6000 aluminum alloy for automobile． J Mater Sci Eng，2005，23( 2) : 302 ( 丁向群，何国求，陈成澍，等． 6000 系汽车车用铝合金的研 究应用进展． 材料科学与工程学报，2005，23( 2) : 302) ［2］ Yang X Y，Lang L H，Liu K N，et al． Prediction of forming limit diagram of AA7075--O aluminum alloy sheet based on modified M--K model． J Beijing Univ Aeron Astron，2015，41( 4) : 675 ( 杨希英，郎利辉，刘康宁，等． 基于修正 M--K 模型的铝合金 板材成形极 限 图 预 测． 北京航空航天大学学报，2015，41 ( 4) : 675) ［3］ Yu S H，Xu W，Liang J Y． Forming limit prediction of IF steel based on M--K model and experimental verification． Hot Work Technol，2016，45( 7) : 160 ( 余世浩，徐巍，梁江艳． 基于 M--K 模型的 IF 钢成形极限预 测与实验验证． 热加工工艺，2016，45( 7) : 160) ［4］ Du P H，Lang L H，Liu B S，et al． Theoretical prediction and pa￾rameter influence of FLDS based on M--K model． J Plast Eng， 2011，18( 5) : 84 ( 杜平海，郎利辉，刘宝胜等． 基于 M--K 模型的成形极限预 测及参数影响． 塑性工程学报，2011，18 ( 5) : 84) ［5］ Ma G S，Wan M，Wu X D． Theoretical prediction of FLDs for Al--Li alloy at elevated temperature based on M--K model． Chin J Nonferrous Met，2008，18( 6) : 980 ( 马高山，万敏，吴向东． 基于 M--K 模型的铝锂合金热态下 成形极限预测． 中国有色金属学报，2008，18( 6) : 980) ［6］ da Ｒocha A B，Santos A D，Teixeira P，et al． Analysis of plastic flow localization under strain paths changes and its coupling with finite element simulation in sheet metal forming． J Mater Process Technol，2009，209( 11) : 5097 ［7］ Swift H W． Plastic instability under plane stress． J Mech Phys Sol￾ids，1952，1( 1) : 1 ［8］ Hill Ｒ． On discontinuous plastic states with special reference to lo￾calized necking in thin sheets． J Mech Phys Solids，1952，1( 1) : 19 ［9］ Marciniak Z，Kuczynski K． Limit strains in the processes of stretch-forming sheet metal． Int J Mech Sci，1967，9( 9) : 609 ［10］ Park J J，Kim Y H． Fundamental studies on the incremental sheet metal forming technique． J Mater Process Technol，2003， 140( 1-3) : 447 ［11］ Jain M，Allin J，Lloyd D J． Fracture limit prediction using duc￾tile fracture criteria for forming of an automotive aluminum sheet． Int J Mech Sci，1999，41: 1273 ［12］ Arrieux Ｒ． Determination and use of the forming limit stress dia￾grams in sheet metal forming． J Mater Process Technol，1995， 53: 47 ［13］ Zhou J． Study on Hot Stamping and Damage Evolution of Boron Steel by Thermal Simulating Experiment Modelling and Simulation ［Dissertation］． Beijing: University of Science and Technology Beijing，2015 ( 周靖． 硼钢热冲压热模拟实验与损伤演化建模仿真研究 ［学位论文］． 北京: 北京科技大学，2015) ［14］ Cheng Y Q，Zhang H，Chen Z H，et al． Flow stress equation of AZ31 magnesium alloy sheet during warm tensile deformation． J Mater Process Technol，2008，208( 1-3) : 29 ［15］ Mohamed M S，Foster A D，Lin J G，et al． Investigation of de￾formation and failure features in hot stamping of AA6082: experi￾mentation and modelling． Int J Mach Tools Manuf，2012，53 ( 1) : 27 · 194 ·